Question

Write the equation of the line that passes throught the point (-4,-9) and has a slope of 1/2

Answer 1

Answer: y = 1/2x - 7

Data

Point = (-4, -9)

slope = m = 1/2

Process

To solve this problem, use the formula slope- y-coordinate, substitute the values and simplify.

Equation

 y - y1 = m (x - x1)

       x1 = -4

       y1 = -9

Substitution

y + 9 = 1/2 (x + 4)

Simplification

 y + 9 = 1/2x + 4/2

  y = 1/2x + 2 - 9

Answer

y = 1/2x - 7